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Theorem

Geometric Mean Theorem

Geometry

The geometric mean theorem, also known as the right triangle altitude theorem, is a result in Euclidean geometry relating the altitude drawn to the hypotenuse of a right triangle to the two segments that altitude creates on the hypotenuse. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Identity or Equation 1
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Has Statement Form

Equation, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Source Geometric mean theorem (Wikipedia)
Sources
1. Geometric mean theorem (Wikipedia)
In Branch: Geometry, Lead sentence
Quote, In Branch: Geometry, Lead sentence
In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hyp
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